How could it be non even one Quasiperfect Number is discovered until now?

[Salah]

How could it be non even one Quasiperfect Number is discovered until now (11/12/2020), inspite of discovering 51 Perfect Numbers until now (12/2020), considering (1) divisor in the summation?

Perfect Number 51 has about 45000000 digits.

I suppose that the definition of the Perfection of a Number is wrong. Considering (1) in the summation is wrong.

What they call it Perfect, should be considered as Pseudoperfect.

What they call it as Quasiperfect, should be considered as Perfect.

I think that Perfect Numbers, according to mine, really exist.

But!!, We should add to the definition:
If the Number is square, then the square root should be summed twice.

I think that Perfect Numbers are odd squares except one number i.e: number 4.

I hope you check what I had said, giving your opinions.

That's Critical to me in my philosophical research.

Thanks in advance.

 

[d.mehdoi]

Hello. It sounds really interesting, I haven't heard of them before. I definitely should learn more about them, thanks for this post.

 

[Salah]

Excuse me, I am so sorry. But I need the opinion of some Specialists regarding this matter. Thank you.

 

[topsquark]

I suppose that the definition of the Perfection of a Number is wrong. Considering (1) in the summation is wrong.

What they call it Perfect, should be considered as Pseudoperfect.

What they call it as Quasiperfect, should be considered as Perfect.

I think that Perfect Numbers, according to mine, really exist.

But!!, We should add to the definition:
If the Number is square, then the square root should be summed twice.

I think that Perfect Numbers are odd squares except one number i.e: number 4.

I hope you check what I had said, giving your opinions.

That's Critical to me in my philosophical research.

Thanks in advance.

It seems to me if you are going to redefine the perfect and quasiperfect numbers then you will be talking about other kinds of numbers. There is nothing wrong in this, so long as you make sure to give them new names to go along with the new definitions.

Maybe no quasiperfect numbers exist. It wouldn't be the first time that the Natural numbers have "failed" the Number theorists.

-Dan

 

[Salah]

Thank you topsquark for your reply. I hope you read all posts of mine. I am a philosopher, what I am asking about is critical in my research. Thank you.